Asymptotic behaviors of solutions for dissipative quantum Zakharov equations  

作　　者：郭艳凤 郭柏灵 李栋龙 

机构地区：[1]Department of Information and Computation of Science,Guangxi University of Technology [2]Institute of Applied Physics and Computational Mathematics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第4期511-524,共14页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 11061003)

摘　　要：The dissipative quantum Zakharov equations are mainly studied. The ex- istence and uniqueness of the solutions for the dissipative quantum Zakharov equations are proved by the standard Galerkin approximation method on the basis of a priori esti- mate. Meanwhile, the asymptotic behavior of solutions and the global attractor which is constructed in the energy space equipped with the weak topology are also investigated.The dissipative quantum Zakharov equations are mainly studied. The ex- istence and uniqueness of the solutions for the dissipative quantum Zakharov equations are proved by the standard Galerkin approximation method on the basis of a priori esti- mate. Meanwhile, the asymptotic behavior of solutions and the global attractor which is constructed in the energy space equipped with the weak topology are also investigated.

关 键 词：quantum Zakhavov equation absorbing set global attractor 

分 类 号：O413.1[理学—理论物理]